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Divergence in right-angled Coxeter groups (1211.4565v2)
Published 19 Nov 2012 in math.GR and math.GT
Abstract: Let W be a 2-dimensional right-angled Coxeter group. We characterise such W with linear and quadratic divergence, and construct right-angled Coxeter groups with divergence polynomial of arbitrary degree. Our proofs use the structure of walls in the Davis complex.